Problem Solving Approach to Mathematics, A (Recover), 10th Edition

1. An Introduction to Problem Solving

1-1 Mathematics and Problem Solving

1-2 Explorations with Patterns

1-3 Reasoning and Logic: An Introduction

 

2. Numeration Systems and Sets

2-1 Numeration Systems

2-2 Describing Sets

2-3 Other Set Operations and Their Properties

 

3. Whole Numbers and Their Operations

3-1 Addition and Subtraction of Whole Numbers

3-2 Algorithms for Whole-Number Addition and Subtraction

3-3 Multiplication and Division of Whole Numbers

3-4 Algorithms for Whole-Number Multiplication and Division

3-5 Mental Mathematics and Estimation for Whole-Number Operations

 

4. Algebraic Thinking

4-1 Variables

4-2 Equations

4-3 Functions

 

5. Integers and Number Theory

5-1 Integers and the Operations of Addition and Subtraction

5-2 Multiplication and Division of Integers

5-3 Divisibility

5-4 Prime and Composite Numbers

5-5 Greatest Common Divisor and Least Common Multiple

5-6 *Clock and Modular Arithmetic

 

6. Rational Numbers as Fractions

6-1 The Set of Rational Numbers

6-2 Addition and Subtraction of Rational Numbers

6-3 Multiplication and Division of Rational Numbers

 

7. Decimals and Real Numbers

7-1 Introduction to Decimals

7-2 Operations on Decimals

7-3 Nonterminating Decimals

7-4 Real Numbers

7-5 Using Real Numbers in Equations

 

8. Proportional Reasoning, Percents and Applications

8-1 Ratios, Proportions and Proportional Reasoning

8-2 Percents

8-3 Computing Interest

 

9. Probability

9-1 How Probabilities are Determined

9-2 Multistage Experiments with Tree Diagrams and Geometric Probabilities

9-3 Using Simulations in Probability

9-4 Odds, Conditional Probability, and Expected Value

9-5 Using Permutations and Combinations in Probability

 

10. Data Analysis/Statistics: An Introduction

10-1 Displaying Data: Part I

10-2 Displaying Data: Part II

10-3 Measures of Central Tendency and Variation

10-4 Abuses of Statistics

10-5 Designing Experiments/Collecting Data (found online on the catalog page under “Take a Closer Look”)

 

11. Introductory Geometry

11-1 Basic Notions

11-2 Polygons

11-3 More about Angles

11-4 Geometry in Three Dimensions

11-5 *Networks

 

12. Constructions, Congruence, and Similarity

12-1 Congruence through Constructions

12-2 Other Congruence Properties

12-3 Other Constructions

12-4 Similar Triangles and Similar Figures

12-5 Lines and Linear Equations in a Cartesian Coordinate System

12-6 *Trigonometry Ratios via Similarity  (found online on the catalog page under “Take a Closer Look”)

 

13. Concepts of Measurement

13-1 Linear Measure

13-2 Areas of Polygons and Circles

13-3 The Pythagorean Theorem, Distance Formula, and Equation of a Circle

13-4 Surface Areas

13-5 Volume, Mass, and Temperature

 

14. Motion Geometry and Tessellations

14-1 Translations and Rotations

14-2 Reflections and Glide Reflections

14-3 Size Transformations

14-4 Symmetries

14-5 Tessellations of the Plane

 

The Appendices are now full chapters to help students with specific technology tools: Using a Spreadsheet, Graphing Calculators, and Using a Geometry Drawing Utility. These chapters are available in the Technology Manual, which can be shrink-wrapped at no additional cost with the new textbook. See ‘Packages’ tab for ordering information. 

 

Answers to All/Selected Exercises

Index

Photo Acknowledgments

 

*Optional Sections